On the number of points of some varieties over finite fields

被引：1

作者：

Perret, M ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, Unite Math Pures & Appl, UMR 5669, F-69363 Lyon 7, France

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2003年 / 35卷

关键词：

D O I：

10.1112/S0024609302001820

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the number of F-q-rational points of an irreducible projective smooth 3-dimensional geometrically unirational variety defined over the finite field F-q with q elements is congruent to 1 modulo q. Some Fermat 3-folds, some classes of rationally connected 3-folds and some weighted projective d-folds also having this property are given.

引用

页码：309 / 320

页数：12

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